Coefficients of singularities and mixed methods for the mixed Dirichlet-Neumann problem for the Stokes operator on a polygon

  • Chettab M
  • Lubuma M
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Abstract

The behaviour of the weak solution of the Stokes problem on a polygon is considered with emphasis on the maximal regularity of the solution and on global formulae for the coefficients of singularities. This regularity leads to a slow convergent mixed finite-element method of fractional order less than one, while the use of the above formulae provides better approximations for the solution and for the coefficients. © 1991.

Author-supplied keywords

  • Stokes system
  • coefficients of singularities
  • finite element
  • singular decomposition

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Authors

  • Mahieddine Chettab

  • Mbaro Saman Lubuma

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